Question

For the sequence: a_n=20/n+1its first term is: its second term is: its third term is: its fourth term is: its 100th term is:

Answer 1

The n-term of the sequence is

`a_n=(20)/(n+1)`

If we want the first term, we do n = 1, then

`\begin{gathered} a_1=(20)/(1+1)=(20)/(2)=10 \\ \end{gathered}`

The second term will be n = 2

`a_2=(20)/(2+1)=(20)/(3)`

The third term

`a_3=(20)/(3+1)=(20)/(4)=5`

The fourth term

`a_4=(20)/(4+1)=(20)/(5)=4`

And the 100th term

`a_(100)=(20)/(100+1)=(20)/(101)`